Protesters pelted stones and clashed with security forces at several places.
People's Conference leader Sajjad Lone claimed the police had fired pellets but the force denied the charge, saying it had used only tear gas.
People also staged protests in Alamgari Bazaar and Saida Kadal areas of the city. But, as the day progressed, the protests spilled over to other parts of north Kashmir as members of different communities took part in the violent demonstrations.
Sectarian tensions have gripped the Valley since the May 8 rape of the Shia girl in Sumbal, Bandipora.
On Sunday, massive protests were held by angry crowds in various parts of the Valley's Bandipore and Baramulla districts against the incident.More news: Kerr: Durant won't play in Game 6 due to calf strain
The Kashmir Valley erupted in anger on Monday against the rape of a three-year-old minor, with 74 people injured in widespread clashes between the security forces and protesters. "Now we are again demanding capital punishment for the accused, otherwise, such things will be repeated". At places, the protests turned violent with many people injured, some of them critically. A medical team is likely to determine the accused's age through scientific measures.
'One of the injured protestors is critically wounded, ' Pani said, adding that police had registered a separate case against the school principal and detained him for questioning.
Jammu and Kashmir governor Satya Pal Malik has directed the concerned officials to work swiftly in the case. Society often blames women for inviting unwanted attention but what was this child's fault? "Former Chief Minister Mehbooba Mufti also expressed her outrage". The victim's family has demanded justice and called for the hanging of the rapist.
Hardline Hurriyat chairman Syed Ali Geelani termed the incident unfortunate and criticised law enforcement agencies for the growing crime.
They criticised the management of a local school for certifying that the accused is a minor and demanded impartial probe into the entire incident.
"All of Kashmir stands in unison demanding sternest punishment against the brute perpetrator", he tweeted.